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For a set of positive numbers, consider ...

For a set of positive numbers, consider the following statements :
1. If each number is reduced by 2, then the geometric mean of the set may not always exist.
2. If each number s increased by 2, then the geometric mean of the set is increased by 2.
Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

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